T.F.
Oh lord, I would dread that like the plague. Is there any way you can fly? SO much safer.
That said, we travel a lot and I have found the Hilton family of hotels to be good spots. Some are better than others, check the yelp or trip advisor ratings. Usually they are located in areas such that it is easy access to the interstate, etc.
We've also used the Marriott family of hotels as well.
All of them have pools and fitness centers. You might find a decent place if you look at the suites like Embassy, Homewood (both Hilton), Hilton Garden Inn's are usually nice. Hampton's are nice but they do cater pretty much to business traveler and might not have the things you like. Marriott has Fairfield Inn which is a suite.
Go directly to the hotel sites such as Hilton.com and Marriott.com and you can compare hotels in the area where you plan to stay.
Naples is nice... Where are you staying? We were at Marco Island a couple years ago at the Hilton resort and loved it.
Best wishes.